Two metal spheres, Sphere A and Sphere B are identical in size and composition.

Question

Two metal spheres, Sphere A and Sphere B are identical in size and composition. Sphere A has a charge of 1.50 mu C, while sphere B has a charge of -0.75 mu C. If the spheres are touched together and then separated, how much charge is now on each sphere? A. 1.50 mu C on A and -0.75 mu C on B B 0.38 mu C on A and 0.38 mu C on B C. -0.38 mu C on A and -0.38 mu C on B D. 0.75 mu C on A and 0.75 mu C on B Two point charges with charge Q_1 and Q_2 are separate by a distance R. Suppose the charges are brought closer together, such that the distance is now R/2. What happens to the electric force between the charges? A. The force is unchanged. B. The force doubles. C. The force quadruples. D. The force is halved.

Explanation / Answer

here,

1)

the charge on sphere1 , q1 = 1.5 uC = 1.5 * 10^-6 C

the charge on sphere 2 , q2 = - 0.75 uC = - 0.75 * 10^-6 C

let the final charge on the spheres be q

q1 + q2 = 2 * q

1.5 uC - 0.75 uC = 2 * q

q = 0.38 uC

so the charge on sphere A and sphere B is 0.38 uC each

the correct option is B)

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